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Ch.12-----Ch.15
Term 051
Ch-12
 T051: Q: 16 . A cube of volume 8.0 cm3 is
made of material with a bulk modulus of
3.5×109 N/m2. When it is subjected to a
pressure of 3.0 × 105 Pa, the change in its
volume ( V) is(Ans: 6.9 x 10-4 cm3)
 Q: 17. A uniform rigid rod having a mass of
50 kg and a length of 2.0 m rests on two
supports A and B as shown in the Fig. 3.
When a block of mass 60 kg is kept at point
C at a distance of x from the center, the rod
is about to be lifted from A The value of x is:
(Ans: 0.92 m )
 Q: 18.
A uniform beam having a mass of
60 kg and a length of 2.8 m is held in place
at its lower end by a pin (P). Its upper end
leans against a vertical frictionless wall as
shown in the Fig. 4. What is the magnitude
of the force by the pin on the beam? (Ans:
706 N)
Ch-13
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T051
Q#19: Calculate the magnitude and
direction of net gravitational force on
particle of mass m due to two
particles each of mass M, where m
=1000 kg and M =10000 kg and are
arranged as shown in the Fig. 5.(Ans:
4.3 x 10-5 N directed towards
negative x-axis)
Q#20: One of the moons of planet
Mars completes one revolution around
Mars in 1.26 days. If the distance
between Mars and the moon is 23460
km, calculate the mass of Mars.( Ans:
6.45 x 1023 kg)
Q#21: A satellite of is in a circular
orbit around a planet. If the kinetic
energy of the satellite is 1.87 x 109
J, what is the mechanical energy of
the satellite? (Ans: - 1.87 x 109 J)
Q#22: A projectile was fired straight
upward from Earth's surface with an
initial speed vi such that it reaches a
maximum height of 2RE above the
Earth surface (take g = 9.80 m/s2 and
RE = 6.37 x 106 m). The initial speed
vi is (Ans: 10.5 km/s)
Ch-14
 T051:
 Q#23: Several cans of different sizes and
shapes are all filled with the same liquid to the
same height h (See Fig. 6). Then: (Ans: the
pressure on the bottom of each can is the same)
 Q#24: Fig. 7 shows a U-tube with crosssectional area A and partially filled with oil of
density . A solid cylinder, which fits the tube
tightly but can slide without friction, is placed in
the right arm. The system is in equilibrium. The
weight of the cylinder is: (Ans: ALg)
 Q#25: An object hangs from a spring balance
The balance indicates 30N in air and 20N when
the object is submerged in water. What does
the balance indicate when the object is
submersed in a liquid with a density that is half
that of water? (Ans:25N)
 Q#26: An incompressible liquid flows along the
pipe as shown in Fig. 8 with A1=2A2. The ratio
of the mass flow rate R2/R1 is: (Ans: 1)
T
2
Ch-15
 T051
 Q#27: In simple harmonic motion, the
magnitude of the acceleration is greatest
when: (Ans: the displacement is maximum)
 Q#28: A particle is in simple harmonic
motion along the x axis. The amplitude of
the motion is xm. At one point in its
motion its kinetic energy is K = 5 J and its
potential energy measured with U = 0 at x
= 0) is U = 3 J. When it is at x = xm, the
kinetic and potential energies are: (Ans: K
= 0 and U = 8J)
 Q#29: A 0.25-kg block oscillates at the
end of the spring with a spring constant of
200N/m. If the system has an energy of
6.0 J, then the amplitude of the
oscillation is: (Ans: 0.24m)
 Q#30: A simple pendulum has length L and
period T. As it passes through its
equilibrium position, the string is suddenly
clamped at its midpoint, its new period is
(See Fig. 9). (Ans: T/2)
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